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Finding the Fourth Proportional to 583.42, 874.63 and 236.38

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Solution

The fourth proportional to 583.42, 874.63 and 236.38 is: 354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 874.63 = 236.38 : x
  2. Step 2: Convert to fraction form
    583.42/874.63 = 236.38/x
  3. Step 3: Cross multiply
    583.42x = 874.63 × 236.38
  4. Step 4: Simplify right side
    583.42x = 206,745.04
  5. Step 5: Solve for x
    x = 206,745.04/583.42
  6. Step 6: Final answer
    x = 354.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.